Answer:


Step-by-step explanation:
Let's begin with the mass definition in terms of density.

Now, we know the limits of the integrals of x and y, and also know that ρ = ky², so we will have:

Let's solve this integral:



So the mass will be:

Now we need to find the x-coordinate of the center of mass.





Now we need to find the y-coordinate of the center of mass.








Therefore the center of mass is:

I hope it helps you!
Answer: 23 y 24 ( ó -23 y -24)
Step-by-step explanation:
Dos números consecutivos se escriben como:
n y (n + 1)
done n es un numero entero.
Entonces "El producto de dos números consecutivos es 552"
Se escribe como:
n*(n + 1) = 552
n^2 + n = 552
n^2 + n - 552 = 0
Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.

Las dos soluciones son.
n = (-1 - 47)/2 = -48/2 = -24
n = (-1 + 47)/2 = 46/2 = 23
Si tomamos la primer solución, n = -24
Entonces los dos números consecutivos son:
n = -24
(n + 1) = -23
Si n = 23 entonces
n + 1 = 24
Lo cual tiene sentido, por que lo único que cambia son los signos, los cuales se cancelarían en la multiplicación.
Answer:
(1,-12)
Step-by-step explanation:
d starts at (-5,-2) if you add 6 to -5 and minus -2 by 10 you will end up with (1,-12)
The area of the park is 1465m squared, because you would find the area of the square first which is 100m squared and then you would add that to the area of the trapezoid which is 1365m squared and after you add them, you would get 1465m squared. I’m still not sure if this is the exact answer but please check it over to see if I did it correct :)